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Approximation of slow solutions to differential inclusions

dc.contributor.authorSaint-Pierre, Patrick
dc.date.accessioned2014-10-30T13:55:39Z
dc.date.available2014-10-30T13:55:39Z
dc.date.issued1990
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/14101
dc.language.isoenen
dc.subjectdifferential inclusionsen
dc.subject.ddc519en
dc.titleApproximation of slow solutions to differential inclusionsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenTo approach a viable solution of a differential inclusion, i.e., staying at any time in a closed convexK, a sufficient condition is given implying the convergence of an approximation sequence defined from the Euler or Runge-Kutta methods applied to a selection process which corresponds to the slowsolution concept. WhenK is smooth, the convergence condition is satisfied. This proves that the method is implementable on a computer for solving, for instance, differentiable equations with a noncontinuous right-hand side. Since the usual best approximation operator is difficult to implement, we introduce a class of quasi-projectors much more suitable for computation.en
dc.relation.isversionofjnlnameApplied Mathematics and Optimization
dc.relation.isversionofjnlvol22en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate1990
dc.relation.isversionofjnlpages311-330en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/BF01447333en
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


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